Finding the Third Proportional to 192,264 and 414,111

Step by Step Solution

1. Step 1: Write the proportion equation
   192,264 : 414,111 = 414,111 : x
2. Step 2: Convert to fraction form
   192,264/414,111 = 414,111/x
3. Step 3: Cross multiply
   192,264x = 414,111 × 414,111
4. Step 4: Simplify right side
   192,264x = 171,487,920,321
5. Step 5: Solve for x
   x = 171,487,920,321/192,264
6. Step 6: Final answer
   x = 891,939.83